Topological Sigma Models with H-Flux.

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Authors

HULL Chris LINDSTRÖM Ulf MELO DOS SANTOS Luis VON UNGE Rikard ZABZINE Maxim

Year of publication 2008
Type Article in Periodical
Magazine / Source Journal of High Energy Physics
MU Faculty or unit

Faculty of Science

Citation
Web eprint
Field Elementary particles and high-energy physics
Keywords topological sigma models; generalized Kähler geometry
Description We investigate the topological theory obtained by twisting the N=(2,2) supersymmetric nonlinear sigma model with target a bihermitian space with torsion. For the special case in which the two complex structures commute, we show that the action is a Q-exact term plus a quasi-topological term. The quasi-topological term is locally given by a closed two-form which corresponds to a flat gerbe-connection and generalises the usual topological term of the A-model. Exponentiating it gives a Wilson surface, which can be regarded as a generalization of a Wilson line. This makes the quantum theory globally well-defined.
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